Question

What is the energy of one photon of light with a wavelength of 445 nm?

a) 4.48 × 10⁻19 Joules
b) 4.48 × 10⁻18 Joules
c) 4.48 × 10⁻20 Joules
d) 4.48 × 10⁻17 Joules

Answer 1

The energy of one photon of light with a wavelength of 445 nm is approximately 4.48 x 10^-19 Joules.

Step-by-step explanation:

The energy of one photon of light can be calculated using the equation E = hc/λ, where E is the energy, h is Planck's constant (6.626 × 10^-34 J·s), c is the speed of light (3.00 x 10^8 m/s), and λ is the wavelength. Plugging in the given wavelength of 445 nm (1 nm = 1 x 10^-9 m) into the equation, we get:

E = (6.626 x 10^-34 J·s) x (3.00 x 10^8 m/s) / (445 x 10^-9 m)

Simplifying the equation, the energy of one photon of light with a wavelength of 445 nm is approximately 4.48 x 10^-19 Joules.